Home
Class 12
MATHS
The solution of the differential equatio...

The solution of the differential equation
`(1+y^(2)) dx = (tan^(-1) y - x) dy` is

A

`xe^tan-1y =e^tan-1y (tan^-1 y-1) +c`

B

`xe^tan-1y =(tan^-1 y +1) -c`

C

`xe^tan-1y = (tan^-1 y-1) +c`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATION

    MOTION|Exercise Exercise 2|48 Videos

  • DIFFERENTIAL EQUATION

    MOTION|Exercise Exercise 3|52 Videos

  • DIFFERENTIAL EQUATION

    MOTION|Exercise Exercise 4|29 Videos

  • DIFFERENTIABILITY

    MOTION|Exercise Exercise - 4 | Level-I Previous Year | JEE Main|15 Videos

  • ELLIPSE

    MOTION|Exercise Exercise - 4 | Level-I Previous Year | JEE Main|20 Videos

Similar Questions

Explore conceptually related problems

The solution of the differential equation (1+y^(2)) tan^(-1) x dx + y(1+x^(2)) dy = 0 is

The solution of differential equation (1+x^(2)) (dy)/(dx) + y = e^(tan^(-1)x)

The solution of the differential equation (1+x^(2))(dy)/(dx)+y=e^(tan^(-1)x) is :

The general solution of the differential equation y dx +(1+x^2) tan^(-1) x dy =0 is

The solution of the differential equation dy/dx = (1+x)(1+ y^2) is -

The solution of the differential equation x(e^(2y)-1)dy + (x^2-1) e^y dx=0 is

The solution of the differential equation (1-x^(2))(1-y)dx=xy(1+y)dy is

The solution of the differential equation (1+x)(dy)/(dx)=4+y is

MOTION-DIFFERENTIAL EQUATION -Exercise 1
  1. The solution of the differential equation dy/dx = (1+x)(1+ y^2) is -

    Text Solution

    |

  2. The general solution of the differential equation, y^(prime)+yvarph...

    Text Solution

    |

  3. The solution of the differential equation (x^(2)+y^(2))dx = 2xy dy is

    Text Solution

    |

  4. The general solution of x(dy)/(dx)=y-xtan((y)/(x)) is . . . .

    Text Solution

    |

  5. x(dy)/(dx)=y(logy-logx+1)

    Text Solution

    |

  6. The solution of the differential equation x^(2) (dy)/(dx)= x^(2) + ...

    Text Solution

    |

  7. The solution of the equation x(dy)/(dx) +3y=x is

    Text Solution

    |

  8. The solution of the differential equation (1+y^(2)) dx = (tan^(-1) ...

    Text Solution

    |

  9. The solution of the differential equation (2x -10 y^3) dy/dx +y =0 is

    Text Solution

    |

  10. The solution of the differential equation dy/dx +y =cosx is -

    Text Solution

    |

  11. The solution of the differential equation (dy)/(dx)+(y)/(x)=x^(2), is

    Text Solution

    |

  12. Number of values of m in N for which y=e^(mx) is a solution of the dif...

    Text Solution

    |

  13. The value of the constant 'm' and 'c' for which y = mx + c is a soluti...

    Text Solution

    |

  14. The general solution of the differential equation dy/dx = (1-x)/y is a...

    Text Solution

    |

  15. Solve sec^(2)x tany dx+sec^(2)y tanx dy=0

    Text Solution

    |

  16. y log ydx-xdy=0

    Text Solution

    |

  17. The solution of the DE x cos y dy = (x e ^(x) log x + e ^(x)) dx is

    Text Solution

    |

  18. Find the orthogonal trajectories of xy=cdot

    Text Solution

    |

  19. Which one of the following curves represents the solution of the initi...

    Text Solution

    |

  20. Which of the following transformations reduce the differential equatio...

    Text Solution

    |